Using the knowledge that you know about a current and Its Behavior across a circ

Question

Using the knowledge that you know about a current and Its Behavior across a circuit with one capacitor connected to Signal generator.

a) In the exies below carefully draw the graph of the current in the case the signal generator was set to 300 Hertz.

b) From you are drawing above determine the size difference between the current and the applied voltage. Does the current lag or lead the applied voltage?

c) From the data in table 2 what is the capacitive reactants (Xc) at 300 Hertz?

Explanation / Answer

v = vo sin ( wt) = vo sin ( 2pif t), q = cv

v = 5 sin ( 1884t)

dq/dt = c dv/dt

I = c ( dv/dt ) = wc vo cos (wt) = Cw vo ( sin wt +pi/2)

I = Io sin (wt + pi/2) , where Io = Cw vo = C( 1884 ) ( 5) = 9420 c

I = Io sin ( 1884t + pi/2)

In order to draw the current grah, we need to know the value of capacitor ( which will give the peak value of current or I0) , the graph of current leads the voltage graph by pi/2, ( as we have seen the expression of I )

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